The generalized successive overrelaxation (GSOR) method of Bai, Parlett, and Wang [Numer. Math., 102 (2005), pp. 1–38]

Stochastic Klein–Gordon–Schr？dinger (KGS) equations are important mathematical models and describe the interaction between scalar nucleons and n...

We generalize the Riesz conjugate functions theorem for planar harmonic K-quasiregular mappings (when 1

We consider an inverse problem \boldsymbol {y}= f(\boldsymbol {Ax}) , where \boldsymbol {x}\in \mathbb {R}^{n} is the signal of interest, \boldsymb...

Turing’s model has been widely used to explain how simple, uniform structures can give rise to complex, patterned structures during the developmen...

In this paper, we first prove the global existence of strong solutions to 3-D incompressible Navier-Stokes equations with solenoidal initial data, ...

Classical continued fractions can be introduced in the field of $p$-adic numbers, where $p$-adic continued fractions offer novel perspectives on nu...

This paper is the second of two articles, in which we aim to prove the convergence of the Hiptmair–Xu (HX) preconditioner (originally proposed by ...

Neural operators have been explored as surrogate models for simulating physical systems to overcome the limitations of traditional partial differen...

A discussion of three-wave interaction systems with rapidly decaying data is provided. Included are the classical and two nonlocal three-wave inter...

Consumer goods volume and their consumption structure significantly contribute to water pollution within economic zones. However, there remains a n...

This paper aims to identify a dietary structure in China that can enhance people's health while significantly reducing environmental footprints. Al...

We propose a two-step Newton’s method for refining an approximation of a singular zero whose deflation process terminates after one step, also kno...